Abstract: A lithographic apparatus includes a driven object having compliant dynamics; a plurality of actuators configured to act on the driven object, wherein the plurality of actuators are over-determined in an actuator degree of freedom; a control system including a transformation matrix configured to generate controller output signals for each of the plurality of actuators in response to a setpoint, wherein the transformation matrix is configured such that the controller output signals do not excite the compliant dynamics of the driven object in at least one degree of freedom.

Abstract: A lithographic apparatus includes: an illumination system configured to condition a radiation beam; a support constructed to support a patterning device, the patterning device being capable of imparting the radiation beam with a pattern in its cross-section to form a patterned radiation beam; a substrate table constructed to hold a substrate; a projection system configured to project the patterned radiation beam onto a target portion of the substrate, and a deformation sensor to determine deformations of an object of the lithographic apparatus, wherein the deformation sensor includes at least one optical fiber arranged on or in the object, the optical fiber including one or more Bragg gratings, and an interrogation system to interrogate the one or more Bragg gratings.

Abstract: A variable reluctance device includes first and second magnetic members, a coil, a measurement coil, and a control unit. The first and second magnetic members are displaceable relative to each other to provide a magnetic circuit having a variable reluctance. The coil for, in use, receiving a current for generating a magnetic flux through the magnetic circuit. The measurement coil for generating a measurement signal representative of the magnetic flux through the magnetic circuit, whereby the measurement coil is arranged to substantially enclose the magnetic flux through the magnetic circuit. The control unit arranged to receive the flux signal at an input terminal and, in response, provide a control signal based on the measurement signal at an output terminal for controlling an amplitude of the current or a force of a further device. The device can e.g., be applied in a stage apparatus or a lithographic apparatus.

Abstract: There is provided a positioning system for positioning an object in a lithographic apparatus. The positioning system includes a support, a position measurement device, a deformation sensor and a processor. The support is constructed to hold the object. The position measurement device is configured to measure a position of the support. The position measurement device includes at least one position sensor target and a plurality of position sensors to cooperate with the at least one position sensor target to provide a redundant set of position signals representing the position of the support. The deformation sensor is arranged to provide a deformation signal representing a deformation of one of the support and the position measurement device. The processor is configured to calibrate one of the position measurement device and the deformation sensor based on the deformation signal and the redundant set of position signals.

Abstract: An exposure apparatus including a projection system configured to project a plurality of radiation beams onto a target; a movable frame that is at least rotatable around an axis; and an actuator system configured to displace the movable frame to an axis away from an axis corresponding to the geometric center of the movable frame and to cause the frame to rotate around an axis through the center of mass of the frame.

Abstract: A lithographic apparatus includes a support constructed to support a patterning device, the patterning device being capable of imparting a radiation beam with a pattern in its cross-section to form a patterned radiation beam; a substrate table constructed to hold a substrate; a projection system configured to project the patterned radiation beam onto a target portion of the substrate; a sensor array positioned and arranged to detect an acoustic wave from a movable part of the lithographic apparatus, a controller, the controller having a controller input connected to the sensor array so as to receive a sensor array output signal, and a controller output connected to at least one actuator arranged to act on the movable part, the controller being arranged to: calculate a movement of the movable part from the sensor array output signal, and drive via the controller output the at least one actuator in response to the calculated movement.

Abstract: A lithographic apparatus includes: an illumination system configured to condition a radiation beam; a support constructed to support a patterning device, the patterning device being capable of imparting the radiation beam with a pattern in its cross-section to form a patterned radiation beam; a substrate table constructed to hold a substrate; a projection system configured to project the patterned radiation beam onto a target portion of the substrate, and a deformation sensor to determine deformations of an object of the lithographic apparatus, wherein the deformation sensor includes at least one optical fiber arranged on or in the object, the optical fiber including one or more Bragg gratings, and an interrogation system to interrogate the one or more Bragg gratings.

Abstract: A variable reluctance device includes first and second magnetic members, a coil, a measurement coil, and a control unit. The first and second magnetic members are displaceable relative to each other to provide a magnetic circuit having a variable reluctance. The coil for, in use, receiving a current for generating a magnetic flux through the magnetic circuit. The measurement coil for generating a measurement signal representative of the magnetic flux through the magnetic circuit, whereby the measurement coil is arranged to substantially enclose the magnetic flux through the magnetic circuit. The control unit arranged to receive the flux signal at an input terminal and, in response, provide a control signal based on the measurement signal at an output terminal for controlling an amplitude of the current or a force of a further device. The device can e.g., be applied in a stage apparatus or a lithographic apparatus.